In biprism experiment, if $5^{ ext {th }}$ bright band with wavelength $\lambda_1$ coincides with $6^{ ext {th }}$ dark band with wavelength $\lambda_2$ then the ratio $\left(\lambda_1 / \lambda_2 ight)$ is

Question

In biprism experiment, if $5^{	ext {th }}$ bright band with wavelength $\lambda_1$ coincides with $6^{	ext {th }}$ dark band with wavelength $\lambda_2$ then the ratio $\left(\lambda_1 / \lambda_2ight)$ is

Aicharya · Accepted Answer

$\begin{aligned} & 	ext { Given: } y_5=y_6^{\prime} \ & \left(\frac{\mathrm{n} \lambda \mathrm{D}}{\mathrm{d}}ight)_5=\left[\frac{(2 \mathrm{n}-1) \lambda \mathrm{D}}{2 \mathrm{~d}}ight]_6 \ & \frac{5 \lambda_1 \mathrm{D}}{\mathrm{d}}=\frac{11 \lambda_2 \mathrm{D}}{2 \mathrm{~d}}\end{aligned}$ $	herefore \quad \frac{\lambda_1}{\lambda_2}=\frac{11}{10}$ ~

In biprism experiment, if $5^{\text {th }}$ bright band with wavelength $\lambda_1$ coincides with $6^{\text…

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